2012Unpublished venueRequires access

The Relation between Solutions of Higher Order Linear Differential Equations and Functions of Small Growth

Jin Jin

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Abstract

In this paper, the growth of solutions of higher order linear differential equation is investigates, in the           12 12 2 1 0 0 kk k az bz kk f A z f A z f A z f A z e f A z e f             0 j Az  were entire functions,   10 ,1, 2, , 1 j Aj k     , ab , are non-zero constant obtains their 1st, 2nd derivatives, diffe rential polynomial of differential equations with function of small growth.

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What this paper is about

In this paper, the growth of solutions of higher order linear differential equation is investigates, in the           12 12 2 1 0 0 kk k az bz kk f A z f A z f A z f A z e f A z e f             0 j Az  were entire functions,   10 ,1, 2, , 1 j Aj k     , ab , are non-zero constant obtains their 1st, 2nd derivatives, diffe rential polynomial of differential equations with function of small growth.

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Available abstract

In this paper, the growth of solutions of higher order linear differential equation is investigates, in the           12 12 2 1 0 0 kk k az bz kk f A z f A z f A z f A z e f A z e f             0 j Az  were entire functions,   10 ,1, 2, , 1 j Aj k     , ab , are non-zero constant obtains their 1st, 2nd derivatives, diffe rential polynomial of differential equations with function of small growth.

Key concepts: Mathematics, Linear differential equation, Differential equation, Order (exchange), Entire function, Constant (computer programming), Mathematical analysis, Homogeneous differential equation

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